[RsR] [R] Median of streaming data

[biostat]

Two further interesting references might be
http://www.stat.cmu.edu/~ryantibs/papers/median.pdf
and
http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6691602

Best
Roland

Am 24.09.2014 12:29, schrieb Martyn Byng:
> Something else that might be of interest ...
>
> Zhang Q and Wang W (2007) A fast algorithm for approximate quantiles
> in high speed data streams Proceedings of the 19th International
> Conference on Scientific and Statistical Database Management IEEE
> Computer Society 29
>
> -----Original Message-----
> From: r-help-bounces using r-project.org
> [mailto:r-help-bounces using r-project.org] On Behalf Of Martin Maechler
> Sent: 24 September 2014 09:17
> To: Rolf Turner
> Cc: R-help using r-project.org; R-SIG-robust using r-project.org
> Subject: Re: [R] Median of streaming data
>
>>>>>> Rolf Turner <r.turner using auckland.ac.nz>
>>>>>>     on Wed, 24 Sep 2014 18:43:34 +1200 writes:
>
>     > On 24/09/14 17:31, Mohan Radhakrishnan wrote:
>     >> Hi,
>     >>
>     >> I have streaming data(1 TB) that can't fit in memory. Is
>     >> there a way for me to find the median of these streaming
>     >> integers assuming I can fit only a small part in memory ?
>     >> This is about the statistical approach to find the median
>     >> of a large number of values when I can inspect only a
>     >> part of them due to memory constraints.
>
>     > You cannot, I'm pretty sure, calculate the median
>     > recursively.  However there are "approximate" recursive
>     > median algorithms which provide an estimate of location
>     > that has the same asymptotic properties as the median.
>
>     > See:
>
>     > * U. Holst, Recursive estimators of location.
>     > Commun. Statist. Theory Meth., vol. 16, 1987,
>     > pp. 2201--2226.
>
>     > and
>
>     > * Murray A. Cameron and T. Rolf Turner, Recursive location
>     > and scale estimators, Commun. Statist. Theory Meth.,
>     > vol. 22, 1993, pp. 2503--2515.
>
> This is really interesting to me, thank you, Rolf!
>
> OTOH,
>
> 1) has your proposal ever been provided in R?
>    I'd be happy to add it to the robustX
>    (http://cran.ch.r-project.org/web/packages/robustX) or even
>    robustbase (http://cran.ch.r-project.org/web/packages/robustbase) 
> package.
>
> 2) Would anybody know of more recent research on the subject?
>    (I quickly "googled around" and found research more geared
>     for the time series situation which is more involved anyway)
>
>    --> Hence CC'ing the experts' list  R-SIG-robust
>
>
> Martin Maechler,  ETH Zurich
>
>
>     > cheers,
>     > Rolf Turner
>
>     > --
>     > Rolf Turner Technical Editor ANZJS
>
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